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Re: In how many ways can a coach select a 4-person university team from a [#permalink]

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24 Aug 2015, 19:23

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dav90 wrote:

pate13 wrote:

In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

1) The number of eligible candidates is three times greater than the number of slots on the team.2) 60% of the 20 athletes are eligible to play on the four-person university team.

Even 1st statement can tell the total eligible candidates, then why answer is not D?

The 1st statement basically only states, eligible candidates > 3*(4). so the value could be greater than 12, so there is no way one can find the # of possibilities if the total eligible candidates list is unknown.

hope this answers. Kudos if this helped.
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Re: In how many ways can a coach select a 4-person university team from a [#permalink]

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24 Aug 2015, 19:27

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kingjamesrules wrote:

dav90 wrote:

pate13 wrote:

In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

1) The number of eligible candidates is three times greater than the number of slots on the team.2) 60% of the 20 athletes are eligible to play on the four-person university team.

Even 1st statement can tell the total eligible candidates, then why answer is not D?

The 1st statement basically only states, eligible candidates > 3*(4). so the value could be greater than 12, so there is no way one can find the # of possibilities if the total eligible candidates list is unknown.

hope this answers. Kudos if this helped.

I missed '' Greater than"...
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Re: In how many ways can a coach select a 4-person university team from a [#permalink]

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28 Aug 2015, 07:39

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kingjamesrules wrote:

dav90 wrote:

pate13 wrote:

In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

1) The number of eligible candidates is three times greater than the number of slots on the team.2) 60% of the 20 athletes are eligible to play on the four-person university team.

Even 1st statement can tell the total eligible candidates, then why answer is not D?

The 1st statement basically only states, eligible candidates > 3*(4). so the value could be greater than 12, so there is no way one can find the # of possibilities if the total eligible candidates list is unknown.

hope this answers. Kudos if this helped.

I can understand your argument if the 1st statement said: "The number of eligible candidates is greater than 3 times the number of slots on the team". But it actually says:"The number of eligible candidates IS three times greater than the number of slots on the team. I still think the answer is D. Both these statements give the same information. And that information is enough. Number of ways to choose a 4 person team from 12 candidates = 12Choose4.

Re: In how many ways can a coach select a 4-person university team from a [#permalink]

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28 Aug 2015, 07:54

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I can understand your argument if the 1st statement said: "The number of eligible candidates is greater than 3 times the number of slots on the team". But it actually says:"The number of eligible candidates IS three times greater than the number of slots on the team. I still think the answer is D. Both these statements give the same information. And that information is enough. Number of ways to choose a 4 person team from 12 candidates = 12Choose4.[/quote]

I completely agree. That's why I posted this question: to see other people's interpretation.

Re: In how many ways can a coach select a 4-person university team from a [#permalink]

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28 Aug 2015, 08:01

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hb4100 wrote:

I can understand your argument if the 1st statement said: "The number of eligible candidates is greater than 3 times the number of slots on the team". But it actually says:"The number of eligible candidates IS three times greater than the number of slots on the team. I still think the answer is D. Both these statements give the same information. And that information is enough. Number of ways to choose a 4 person team from 12 candidates = 12Choose4.

A better way to rephrase statement 1 should be " The number of eligible candidates is greater than three times the number of slots on the team." The only way this statement can be interpreted is Eligible candidates > 3*4

But even without this rephrase, Eligible candidates = 3*4 ONLY if the statement mentioned it this way. But the additional "greater than" will make me suspicious of this equality.

Re: In how many ways can a coach select a 4-person university team from a [#permalink]

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28 Aug 2015, 08:59

pate13 wrote:

I can understand your argument if the 1st statement said: "The number of eligible candidates is greater than 3 times the number of slots on the team". But it actually says:"The number of eligible candidates IS three times greater than the number of slots on the team. I still think the answer is D. Both these statements give the same information. And that information is enough. Number of ways to choose a 4 person team from 12 candidates = 12Choose4.

I completely agree. That's why I posted this question: to see other people's interpretation.[/quote]

I also think it's D if the actual question is written like this. I agree with both of you, it clearly says that it is 3 times greater and therefore the answer is D (both statements provide the same information).

Re: In how many ways can a coach select a 4-person university team from a [#permalink]

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19 Jul 2017, 23:26

kingjamesrules wrote:

dav90 wrote:

pate13 wrote:

In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

1) The number of eligible candidates is three times greater than the number of slots on the team.2) 60% of the 20 athletes are eligible to play on the four-person university team.

Even 1st statement can tell the total eligible candidates, then why answer is not D?

The 1st statement basically only states, eligible candidates > 3*(4). so the value could be greater than 12, so there is no way one can find the # of possibilities if the total eligible candidates list is unknown.

hope this answers. Kudos if this helped.

That's not correct. "3 times greater than 4" means 4+3*4 =16

What you are saying should have been written as "more than 3 times greater than 4"
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Statement 1 is definitely not 3 times as many as. but says 3 times greater than = 16, then statement 1 must be sufficient.However then , statement 1 and statement 2 are contradicting to each other, statement1 says 16 and statement2 will say 12.

OR on the whole, i am not understanding meaning of statements properly.

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In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

(1) The number of eligible candidates is three times as great as the number of slots on the team.(2) 60% of the 20 athletes are eligible to play on the four-person university team.

Target question:In how many ways can a coach select a 4-person university team from a pool of eligible candidates?This is a great candidate for rephrasing the target question.

In order to determine the number of ways to select a 4-person university team, we need to know the number of eligible candidates.Let's let n = the number of eligible candidatesOnce we know the value of n, then the total number of ways to select a 4 people will equal nC4

So, let's REPHRASE the target question....REPHRASED target question:What is the value of n?

Aside: Below, you'll find a video with tips on rephrasing the target question

Statement 1: The number of eligible candidates is three times as great as the number of slots on the team.There are 4 available "slots"So, we can write: n = (3)(4)In other words, n = 12 (there are 12 eligible candidates)Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: 60% of the 20 athletes are eligible to play on the four-person university team.In other words, 60% of 20 = nSolve, to get n = 12 (there are 12 eligible candidates) Since we can answer the REPHRASED target question with certainty, statement 2 is SUFFICIENT